Do any of you guys ride motorcycles?
I learned about 5 years ago, and one of the first things we were taught was how to steer a motorbike in a bend. It's not obvious.
[Those of you who do ride, will know exactly where I'm going with this already!]
When you turn any bike at slow speed - say, doing a U-turn - you turn the handlebars in the direction you want the front wheel to go. Of course you do. Duh.
But, once you get a motorcycle moving at speed, something unexpected happens. If you want the bike to turn, you push the inside handlebar away from you. So, to turn the bike to the right, you're actually making the front wheel turn to the left, and vice versa.
Quite how and where this reversal takes place is beyond my understanding of the geometry and forces involved, but the end result is very real. Push left to turn left, and push right to turn right. Unless you're riding slowly, in which case you turn the bars the other way.
Presumably there's some speed at which turning the bars doesn't actually change the bike's direction at all.